Why Drag Analysis is necessary
\large
$\frac{{\partial v}}\partial r = \frac
\left( {\frac{{\partial p}}\partial z} \right)R + c_1 $
\large
$\frac{{\partial u}}\partial y = \frac
\left( {\frac{{\partial p}}\partial x} \right)y + c_1 $
\large
$q = \frac{{2h^3 }}3\mu }}\left( {\frac{{\partial p\partial x} \right)$
\large
$\frac{{\partial v}}\partial r = \frac{{4 \cdot V}}
$
\large
$\frac{{\partial u}}\partial y = \frac{{3V}}2h$
Velocity Gradients
The velocity gradients found in each tube over the range of critical velocities can be found in Table 1. By comparing the velocity gradients in table 1 and the results table from the flow rate experiment it can be determined that once the velocity gradient in the tube reaches a certain value, failure occurs. From the data it appears that failure occurs around 2.4 1/s, as velocity gradients beyond this value correspond with failure in the two smallest tubes sizes tested.
Table 1. Results: The Velocity Gradients for the Tested Critical Velocities